Given numbers are 6837,8916

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 6837,8916 is 20319564.

Find LCM of 6837,8916 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 2279 x 2972 = 20319564

Therefore, the lowest common multiple of 6837,8916 is 20319564.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

6837 x 8916 = 60958692

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

6837 : 1, 3, 43, 53, 129, 159, 2279, 6837

8916 : 1, 2, 3, 4, 6, 12, 743, 1486, 2229, 2972, 4458, 8916

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6837,8916, is 3.

Now, the common factors can be found like this.

6837:3x 43x 53

8916:2x 2x 3x 743

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 60958692/(3x1)

LCM = 60958692/3

LCM = 20319564

Thus, we can understand that the LCM of 6837,8916 is 20319564.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 4070, 5943
• LCM of 6403, 8826
• LCM of 9288, 5052
• LCM of 7355, 7651
• LCM of 7938, 6365

1. What is the LCM of 6837, 8916?

Answer: LCM of 6837, 8916 is 20319564.

2. How to calculate the LCM of 6837, 8916?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 6837, 8916.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.